TSTP Solution File: NUM805^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM805^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:48:14 EDT 2023
% Result : CounterSatisfiable 35.54s 35.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM805^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 11:48:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TH0
% 35.54/35.82 %------------------------------------------------------------------------------
% 35.54/35.82 % File : NUM805^5 : TPTP v8.1.2. Released v4.0.0.
% 35.54/35.82 % Domain : Number Theory (Induction on naturals)
% 35.54/35.82 % Problem : TPS problem from NATS
% 35.54/35.82 % Version : Especial.
% 35.54/35.82 % English :
% 35.54/35.82
% 35.54/35.82 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 35.54/35.82 % Source : [Bro09]
% 35.54/35.82 % Names : tps_0678 [Bro09]
% 35.54/35.82
% 35.54/35.82 % Status : CounterCounterSatisfiable
% 35.54/35.82 % Rating : 0.00 v4.0.0
% 35.54/35.82 % Syntax : Number of formulae : 4 ( 1 unt; 3 typ; 0 def)
% 35.54/35.82 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 35.54/35.82 % Maximal formula atoms : 1 ( 1 avg)
% 35.54/35.82 % Number of connectives : 6 ( 0 ~; 0 |; 0 &; 6 @)
% 35.54/35.82 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 35.54/35.82 % Maximal formula depth : 3 ( 3 avg)
% 35.54/35.82 % Number of types : 1 ( 1 usr)
% 35.54/35.82 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 35.54/35.82 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 35.54/35.82 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 35.54/35.82 % SPC : TH0_CSA_EQU_NAR
% 35.54/35.82
% 35.54/35.82 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 35.54/35.82 % project in the Department of Mathematical Sciences at Carnegie
% 35.54/35.82 % Mellon University. Distributed under the Creative Commons copyleft
% 35.54/35.82 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 35.54/35.82 % :
% 35.54/35.82 %------------------------------------------------------------------------------
% 35.54/35.82 thf(n_type,type,
% 35.54/35.82 n: $tType ).
% 35.54/35.82
% 35.54/35.82 thf(c_plus,type,
% 35.54/35.82 c_plus: n > n > n ).
% 35.54/35.82
% 35.54/35.82 thf(cS,type,
% 35.54/35.82 cS: n > n ).
% 35.54/35.82
% 35.54/35.82 thf(cPA_2,conjecture,
% 35.54/35.82 ! [Xx: n,Xy: n] :
% 35.54/35.82 ( ( c_plus @ Xx @ ( cS @ Xy ) )
% 35.54/35.82 = ( cS @ ( c_plus @ Xx @ Xy ) ) ) ).
% 35.54/35.82
% 35.54/35.82 %------------------------------------------------------------------------------
% 35.54/35.82 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.z3gAno9e9T/cvc5---1.0.5_3398.p...
% 35.54/35.82 (declare-sort $$unsorted 0)
% 35.54/35.82 (declare-sort tptp.n 0)
% 35.54/35.82 (declare-fun tptp.c_plus (tptp.n tptp.n) tptp.n)
% 35.54/35.82 (declare-fun tptp.cS (tptp.n) tptp.n)
% 35.54/35.82 (assert (not (forall ((Xx tptp.n) (Xy tptp.n)) (let ((_let_1 (@ tptp.c_plus Xx))) (= (@ _let_1 (@ tptp.cS Xy)) (@ tptp.cS (@ _let_1 Xy)))))))
% 35.54/35.82 (set-info :filename cvc5---1.0.5_3398)
% 35.54/35.82 (check-sat-assuming ( true ))
% 35.54/35.82 ------- get file name : TPTP file name is NUM805^5
% 35.54/35.82 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3398.smt2...
% 35.54/35.82 --- Run --ho-elim --full-saturate-quant at 10...
% 35.54/35.82 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 35.54/35.82 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 35.54/35.82 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 35.54/35.82 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 35.54/35.82 % SZS status CounterSatisfiable for NUM805^5
% 35.54/35.82 % cvc5---1.0.5 exiting
% 35.54/35.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------